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13081430314276 = 2253214922292
BaseRepresentation
bin1011111001011100001000…
…0000011100110100100100
31201022120110101000002121021
42332113002000130310210
53203311232130024101
643453305350500524
72520050016013432
oct276270200346444
951276411002537
1013081430314276
114193892420095
121573328664744
1373b75c223a2c
14333204b23d52
1517a4284d75a1
hexbe5c201cd24

13081430314276 has 81 divisors (see below), whose sum is σ = 23593257650361. Its totient is φ = 6346401180288.

The previous prime is 13081430314247. The next prime is 13081430314283. The reversal of 13081430314276 is 67241303418031.

The square root of 13081430314276 is 3616826.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2708032272100 + 10373398042176 = 1645610^2 + 3220776^2 .

It is a super-2 number, since 2×130814303142762 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57124149730 + ... + 57124149958.

Almost surely, 213081430314276 is an apocalyptic number.

13081430314276 is the 3616826-th square number.

It is an amenable number.

13081430314276 is a deficient number, since it is larger than the sum of its proper divisors (10511827336085).

13081430314276 is an frugal number, since it uses more digits than its factorization.

13081430314276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 13081430314276 in words is "thirteen trillion, eighty-one billion, four hundred thirty million, three hundred fourteen thousand, two hundred seventy-six".

Divisors: 1 2 4 53 106 149 212 229 298 458 596 916 2809 5618 7897 11236 12137 15794 22201 24274 31588 34121 44402 48548 52441 68242 88804 104882 136484 209764 418541 643261 837082 1176653 1286522 1674164 1808413 2353306 2573044 2779373 3616826 4706612 5084029 5558746 7233652 7813709 10168058 11117492 15627418 20336116 31254836 62362609 95845889 124725218 147306769 191691778 249450436 269453537 294613538 383383556 414126577 538907074 589227076 828253154 1077814148 1164242641 1656506308 2328485282 4656970564 14281037461 21948708581 28562074922 43897417162 57124149844 61704859973 87794834324 123409719946 246819439892 3270357578569 6540715157138 13081430314276